Solve the following exercise:
72+21−147=?
To solve the expression 72+21−147, we need to add and subtract fractions, which requires a common denominator.
- Step 1: Identify the denominators and find the least common denominator (LCD):
- The denominators are 7, 2, and 14.
- The LCM of 7, 2, and 14 is 14.
- Step 2: Convert each fraction to have the denominator 14:
- 72=7×22×2=144
- 21=2×71×7=147
- 147 is already in the form with denominator 14.
- Step 3: Perform the operations using the common denominator:
- Add the first two fractions: 144+147=1411
- Subtract the third fraction: 1411−147=144
- Step 4: Simplify the result if necessary:
- 144 is already simplified to its simplest form.
Therefore, the solution to the expression 72+21−147 is 144, which matches choice 3.